Q: What are the factor combinations of the number 336,346,033?
A:
Positive:
1 x 336346033269 x 1250357
Negative:
-1 x -336346033-269 x -1250357
A:
Positive:
1 x 336346033269 x 1250357
Negative:
-1 x -336346033-269 x -1250357
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 336,346,033, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
1 | 336,346,033 | |
-1 | -336,346,033 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 336,346,033.
Example:
1 x 336,346,033 = 336,346,033
and
-1 x -336,346,033 = 336,346,033
Notice both answers equal 336,346,033
With that explanation out of the way, let's continue. Next, we take the number 336,346,033 and divide it by 2:
336,346,033 ÷ 2 = 168,173,016.5
If the quotient is a whole number, then 2 and 168,173,016.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 336,346,033 | |
-1 | -336,346,033 |
Now, we try dividing 336,346,033 by 3:
336,346,033 ÷ 3 = 112,115,344.3333
If the quotient is a whole number, then 3 and 112,115,344.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 336,346,033 | |
-1 | -336,346,033 |
Let's try dividing by 4:
336,346,033 ÷ 4 = 84,086,508.25
If the quotient is a whole number, then 4 and 84,086,508.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 336,346,033 | |
-1 | 336,346,033 |
If you did it right, you will end up with this table:
1 | 269 | 1,250,357 | 336,346,033 |
-1 | -269 | -1,250,357 | -336,346,033 |
Here are some more numbers to try:
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